混合高阶方法固体力学应用入门
Hybrid high-order methods. A primer with application to solid mechanics
摘要：
这本书分为八章。前三个温和地介绍了混合高阶方法的基本原则，对线性扩散问题，数学分析的关键思想，以及一些有用的变体的方法，以及从文献中的其他方法的链接。以下四个介绍了固体力学的各种具有挑战性的应用，包括线性弹性和超弹性，弹性动力学，接触/摩擦和塑性。最后一章审查了执行方面。这本书主要是为研究生，研究人员（在应用数学，数值分析，和计算力学），和工程师工作在相关领域的应用。假设有设计和分析有限元法的基本知识。特别努力精简介绍，以查明基本思想，解决关键的数学方面，目前的例子，并提供书目指针。
英文摘要：
This book is organized into eight chapters. The first three gently introduce the basic principles of hybrid high-order methods on a linear diffusion problem, the key ideas underlying the mathematical analysis, and some useful variants of the method as well as links to other methods from the literature. The following four present various challenging applications to solid mechanics, including linear elasticity and hyperelasticity, elastodynamics, contact/friction, and plasticity. The last chapter reviews implementation aspects. This book is primarily intended for graduate students, researchers (in applied mathematics, numerical analysis, and computational mechanics), and engineers working in related fields of application. Basic knowledge of the devising and analysis of finite element methods is assumed. Special effort was made to streamline the presentation so as to pinpoint the essential ideas, address key mathematical aspects, present examples, and provide bibliographic pointers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
